SOLUTION: 4(-3x+1)=-10(x-4)-14x....please show the steps on how to do these types of problems.

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Question 209348: 4(-3x+1)=-10(x-4)-14x....please show the steps on how to do these types of problems.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%28-3x%2B1%29=-10%28x-4%29-14x Start with the given equation.


-12x%2B4=-10x%2B40-14x Distribute.


-12x%2B4=-24x%2B40 Combine like terms on the right side.


-12x=-24x%2B40-4 Subtract 4 from both sides.


-12x%2B24x=40-4 Add 24x to both sides.


12x=40-4 Combine like terms on the left side.


12x=36 Combine like terms on the right side.


x=%2836%29%2F%2812%29 Divide both sides by 12 to isolate x.


x=3 Reduce.


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Answer:

So the solution is x=3